Semi-Riemannian geometry : with applications to relativity Barrett O'Neill

By:

O'Neill, Barrett

Material type: Text

TextLanguage: Spanish Series: Pure and applied mathematics ; 103Publication details: New York [u.a.] Acad. Press 1983Description: XIII, 468 S. : graph. DarstISBN:

0125267401
9780125267403

Subject(s):

DDC classification:

516.373

LOC classification:

QA 3 O999s 1983

Contents:

1. Manifold theory -- 2. Tensors -- 3. Semi-Riemannian manifolds -- 4. Semi-Riemannian submanifolds -- 5. Riemannian and Lorentz geometry -- 6. Special relativity -- 7. Constructions -- 8. Symmetry and constant curvature -- 9. Isometries -- 10. Calculus of variations -- 11. Homogenous and symmetric spaces -- 12. General relativity: cosmology -- 13. Schwarzschild geometry -- 14. Causality in Lorentz manifolds -- Appendix A. Fundamental groups and covering manifolds -- Appendix B. Lie groups -- Appendix C. Newtonian gravitation.

Summary: "This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest."--FROM THE PUBLISHER.

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Holdings
Item type	Current library	Home library	Collection	Shelving location	Call number	Copy number	Status	Date due	Barcode
Libro	Biblioteca Juan Bosch	Biblioteca Juan Bosch	Humanidades	Humanidades (4to. Piso)	QA 3 O999s 1983 (Browse shelf(Opens below))	1	Available		00000068017

1. Manifold theory --
2. Tensors --
3. Semi-Riemannian manifolds --
4. Semi-Riemannian submanifolds --
5. Riemannian and Lorentz geometry --
6. Special relativity --
7. Constructions --
8. Symmetry and constant curvature --
9. Isometries --
10. Calculus of variations --
11. Homogenous and symmetric spaces --
12. General relativity: cosmology --
13. Schwarzschild geometry --
14. Causality in Lorentz manifolds --
Appendix A. Fundamental groups and covering manifolds --
Appendix B. Lie groups --
Appendix C. Newtonian gravitation.

"This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest."--FROM THE PUBLISHER.

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